Holonomy and path structures in general relativity and Yang-Mills theory

Springer Science and Business Media LLC - Tập 30 Số 9 - Trang 1171-1215 - 1991
John W. Barrett1
1Department of Physics, The University, Newcastle upon Tyne, England

Tóm tắt

Từ khóa


Tài liệu tham khảo

Aharonov, Y., and Bohm, D. (1959).Physical Review,115, 485?491.

Anandan, J. (1983). Holonomy groups in gravity and gauge fields, inProceedings Conference Differential Geometric Methods in Physics, Trieste 1981, G. Denardo and H. D. Doebner, eds., World Scientific, Singapore.

Atiyah, M. F. (1980). Geometrical aspects of gauge theories, inProceedings International Congress Mathematics, O. Lento, ed., Helsinki, pp. 881?885.

Babelon, O., and Viallet, C. M. (1981).Communications in Mathematical Physics,81, 515?525.

Barrett, J. W. (1985). The holonomy description of classical Yang-Mills theory and general relativity, Ph.D. thesis, University of London.

Barrett, J. W. (1986).Classical and Quantum Gravity,3, 203?206.

Barrett, J. W. (1987).Classical and Quantum Gravity,4, 1565?1576.

Barrett, J. W. (1988).Classical and Quantum Gravity,5, 1187?1192.

Barrett, J. W. (1989).General Relativity and Gravitation,21, 457?466.

Bialynicki-Birula, I. (1963).Bulletin de l'Acad�mie Polonaise des Sciences,11, 135.

Cartan, E. (1922).Comptes Rendus,174, 437?439.

Chan, H.-M., and Tsou, S. T. (1986).Acta Physica Polonica B,17, 259?276.

Chan, H.-M., Scharbach, P., and Tsou, S. T. (1986).Annals of Physics,166, 396?421.

Dirac, P. A. M. (1931).Proceedings of the Royal Society of London A,133, x-xxi.

Dugundji, J. (1966).Topology, Allyn and Bacon, Boston.

Durhuus, B. (1980).Letters in Mathematical Physics,4, 515?522.

Einstein, A. (1922).The Meaning of Relativity, 6th ed., Chapman and Hall, London.

Fischer, A. E. (1986).General Relativity and Gravitation,18, 597?608.

Giles, R. (1981).Physical Review D,24, 2160?2168.

Hawking, S. W., and Ellis, G. F. R. (1973).The Large Scale Structure of Space-Time, Cambridge University Press, Cambridge.

Isham, C. J. (1981). Quantum gravity?An overview, inQuantum Gravity 2, A Second Oxford Symposium, C. J. Isham, R. Penrose, and D. W. Sciama, eds., Clarendon Press, Oxford.

Isham, C. J. (1984). Topological and global aspects of quantum theory, in1983 Les Houches Summer School Lectures ?Relativity Groups and Topology?, North-Holland, Amsterdam.

Kelly, R. M., Tod, K. P., and Woodhouse, N. M. J. (1986).Classical and Quantum Gravitation,3, 1151?1167.

Kibble, T. W. B. (1961).Journal of Mathematical Physics,2, 212?221.

Kobayashi, S. (1954).Comptes Rendus,238, 443?444.

Kobayashi, S., and Nomizu, K. (1963).Foundations of Differential Geometry, Volume 1, Interscience, New York.

Lashof, R. (1956).Annals of Mathematics,64, 436?446.

Mandelstam, S. (1962a).Annals of Physics,19, 1?24.

Mandelstam, S. (1962b).Annals of Physics,19, 25?66.

Mandelstam, S. (1968a).Physical Review,175, 1580?1603.

Mandelstam, S. (1968b).Physical Review,175, 1604?1623.

Miller, W. A. (1986).Foundations of Physics,16, 143?169.

Milnor, J. (1956).Annals of Mathematics,63, 272?284.

Misner, C. W., Thorne, K. S., and Wheeler, J. A. (1972).Gravitation, Freeman, San Francisco.

Narasimhan, M. S., and Ramadas, T. R. (1979).Communications in Mathematical Physics,67, 121?136.

Penrose, R. (1982).Proceedings of the Royal Society of London A,381, 53?63.

Penrose, R., and MacCullum, M. A. H. (1973).Physics Reports,6C, 241?316.

Polyakov, A. M. (1979).Nuclear Physics B,164, 171?188.

Regge, T. (1961).Nuovo Cimento,19, 558?571.

Sciama, D. W. (1962). On the analogy between charge and spin in general relativity, inRecent Developments in General Relativity, Pergamon, Oxford.

Singer, I. M. (1981).Physica Scripta,24, 817?820.

Spanier, E. H. (1966).Algebraic Topology, McGraw-Hill, New York.

Teleman, C. (1960).Annales Scientifiques de l'�cole Normale Sup�rieure 3,77, 195?234.

Teleman, C. (1963).Annali di Matematica, Pura ed Applicata,LXII, 379?412.

Teleman, C. (1969a).Indagationes Mathematicae,31, 89?103.

Teleman, C. (1969b).Indagationes Mathematicae,31, 104?112.

Wilson, K. G. (1974).Physical Review D,10, 2445?2459.